Geodesic
Diagrams and essential sets for signed permutations
David Anderson1
1The Ohio State University
The electronic journal of combinatorics, Tome 25 (2018) no. 3
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We introduce diagrams and essential sets for signed permutations, extending the analogous notions for ordinary permutations. In particular, we show that the essential set provides a minimal list of rank conditions defining the Schubert variety or degeneracy locus corresponding to a signed permutation. Our essential set is in bijection with the poset-theoretic version defined by Reiner, Woo, and Yong, and thus gives an explicit, diagrammatic method for computing the latter.
DOI : 10.37236/8106
Classification : 14N15, 05E40, 05A05, 06A07, 14M15
Mots-clés : Schubert variety, essential set, signed permutation, rank condition, Rothe diagram

David Anderson  1

1 The Ohio State University 
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David Anderson. Diagrams and essential sets for signed permutations. The electronic journal of combinatorics, Tome 25 (2018) no. 3. doi: 10.37236/8106

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